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English

arclength

|arc-length|

C1

🇺🇸

/ˈɑrkˌlɛŋkθ/

🇬🇧

/ˈɑːkˌlɛŋθ/

length along a curve

Etymology
Etymology Information

'arclength' originates from Modern English, specifically the words 'arc' and 'length', where 'arc' ultimately comes from Latin 'arcus' meaning 'bow, arc' and 'length' comes from Old English 'lengðu' meaning 'length, extent'.

Historical Evolution

'arc' changed from Latin 'arcus' to Old French 'arc' and then into Middle English 'arc'; 'length' comes from Old English 'lengðu' (from Proto-Germanic *lengaz). The technical compound 'arc length' arose in English mathematical usage and has sometimes been written as the single word 'arclength' in modern texts.

Meaning Changes

Initially, 'arc' primarily meant a bow (curved shape) and 'length' meant extent; over time 'arc' came to denote a curved segment and the compound came to mean specifically the distance measured along that curved segment ('arclength').

Meanings by Part of Speech

Noun 1

the distance measured along a curve or an arc between two points on the curve.

Compute the arclength of the curve y = f(x) from x = a to x = b.

Synonyms

Last updated: 2025/10/09 06:26